Question:
Find the smallest number by which 648 may be multiplied so that the product is a perfect cube.
Answer:
648 = 2 * 2 * 2 * 3 * 3 * 3 * 3
Hence the number should be multiplied by 3 * 3 = 9 to make it a perfect cube.
Now, new number = 648 * 9 = 5832
3√(5832) = 3√(2 * 2 * 2 * 3 * 3 * 3 * 3 * 3 * 3)
= 2 * 3 * 3
= 18
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